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Finding the Third Proportional to 101,479.50 and 157,126.50

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Solution

The third proportional to 101,479.50 and 157,126.50 is: 243,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,479.50 : 157,126.50 = 157,126.50 : x
  2. Step 2: Convert to fraction form
    101,479.50/157,126.50 = 157,126.50/x
  3. Step 3: Cross multiply
    101,479.50x = 157,126.50 × 157,126.50
  4. Step 4: Simplify right side
    101,479.50x = 24,688,737,002.25
  5. Step 5: Solve for x
    x = 24,688,737,002.25/101,479.50
  6. Step 6: Final answer
    x = 243,287.93

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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.