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Finding the Third Proportional to 60,963 and 97,347

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Solution

The third proportional to 60,963 and 97,347 is: 155,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,963 : 97,347 = 97,347 : x
  2. Step 2: Convert to fraction form
    60,963/97,347 = 97,347/x
  3. Step 3: Cross multiply
    60,963x = 97,347 × 97,347
  4. Step 4: Simplify right side
    60,963x = 9,476,438,409
  5. Step 5: Solve for x
    x = 9,476,438,409/60,963
  6. Step 6: Final answer
    x = 155,445.74

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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.