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Finding the Third Proportional to 60,943 and 97,317

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Solution

The third proportional to 60,943 and 97,317 is: 155,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,943 : 97,317 = 97,317 : x
  2. Step 2: Convert to fraction form
    60,943/97,317 = 97,317/x
  3. Step 3: Cross multiply
    60,943x = 97,317 × 97,317
  4. Step 4: Simplify right side
    60,943x = 9,470,598,489
  5. Step 5: Solve for x
    x = 9,470,598,489/60,943
  6. Step 6: Final answer
    x = 155,400.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.