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Finding the Third Proportional to 61,113 and 91,292

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Solution

The third proportional to 61,113 and 91,292 is: 136,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,113 : 91,292 = 91,292 : x
  2. Step 2: Convert to fraction form
    61,113/91,292 = 91,292/x
  3. Step 3: Cross multiply
    61,113x = 91,292 × 91,292
  4. Step 4: Simplify right side
    61,113x = 8,334,229,264
  5. Step 5: Solve for x
    x = 8,334,229,264/61,113
  6. Step 6: Final answer
    x = 136,374.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.