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Finding the Third Proportional to 101,455.88 and 157,710.38

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Solution

The third proportional to 101,455.88 and 157,710.38 is: 245,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,455.88 : 157,710.38 = 157,710.38 : x
  2. Step 2: Convert to fraction form
    101,455.88/157,710.38 = 157,710.38/x
  3. Step 3: Cross multiply
    101,455.88x = 157,710.38 × 157,710.38
  4. Step 4: Simplify right side
    101,455.88x = 24,872,562,382.64
  5. Step 5: Solve for x
    x = 24,872,562,382.64/101,455.88
  6. Step 6: Final answer
    x = 245,156.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.