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Finding the Third Proportional to 61,006 and 97,404

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Solution

The third proportional to 61,006 and 97,404 is: 155,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,006 : 97,404 = 97,404 : x
  2. Step 2: Convert to fraction form
    61,006/97,404 = 97,404/x
  3. Step 3: Cross multiply
    61,006x = 97,404 × 97,404
  4. Step 4: Simplify right side
    61,006x = 9,487,539,216
  5. Step 5: Solve for x
    x = 9,487,539,216/61,006
  6. Step 6: Final answer
    x = 155,518.13

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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.