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Finding the Third Proportional to 98,552 and 151,689

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Solution

The third proportional to 98,552 and 151,689 is: 233,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,552 : 151,689 = 151,689 : x
  2. Step 2: Convert to fraction form
    98,552/151,689 = 151,689/x
  3. Step 3: Cross multiply
    98,552x = 151,689 × 151,689
  4. Step 4: Simplify right side
    98,552x = 23,009,552,721
  5. Step 5: Solve for x
    x = 23,009,552,721/98,552
  6. Step 6: Final answer
    x = 233,476.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.