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Finding the Third Proportional to 60,806 and 97,139

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Solution

The third proportional to 60,806 and 97,139 is: 155,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,806 : 97,139 = 97,139 : x
  2. Step 2: Convert to fraction form
    60,806/97,139 = 97,139/x
  3. Step 3: Cross multiply
    60,806x = 97,139 × 97,139
  4. Step 4: Simplify right side
    60,806x = 9,435,985,321
  5. Step 5: Solve for x
    x = 9,435,985,321/60,806
  6. Step 6: Final answer
    x = 155,181.81

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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.