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Finding the Third Proportional to 61,513 and 96,370

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Solution

The third proportional to 61,513 and 96,370 is: 150,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,513 : 96,370 = 96,370 : x
  2. Step 2: Convert to fraction form
    61,513/96,370 = 96,370/x
  3. Step 3: Cross multiply
    61,513x = 96,370 × 96,370
  4. Step 4: Simplify right side
    61,513x = 9,287,176,900
  5. Step 5: Solve for x
    x = 9,287,176,900/61,513
  6. Step 6: Final answer
    x = 150,979.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.