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Finding the Third Proportional to 61,465 and 92,759

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Solution

The third proportional to 61,465 and 92,759 is: 139,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,465 : 92,759 = 92,759 : x
  2. Step 2: Convert to fraction form
    61,465/92,759 = 92,759/x
  3. Step 3: Cross multiply
    61,465x = 92,759 × 92,759
  4. Step 4: Simplify right side
    61,465x = 8,604,232,081
  5. Step 5: Solve for x
    x = 8,604,232,081/61,465
  6. Step 6: Final answer
    x = 139,985.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.