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Finding the Third Proportional to 59,464 and 91,860

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Solution

The third proportional to 59,464 and 91,860 is: 141,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,464 : 91,860 = 91,860 : x
  2. Step 2: Convert to fraction form
    59,464/91,860 = 91,860/x
  3. Step 3: Cross multiply
    59,464x = 91,860 × 91,860
  4. Step 4: Simplify right side
    59,464x = 8,438,259,600
  5. Step 5: Solve for x
    x = 8,438,259,600/59,464
  6. Step 6: Final answer
    x = 141,905.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.