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Finding the Third Proportional to 59,643 and 91,374.75

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Solution

The third proportional to 59,643 and 91,374.75 is: 139,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,643 : 91,374.75 = 91,374.75 : x
  2. Step 2: Convert to fraction form
    59,643/91,374.75 = 91,374.75/x
  3. Step 3: Cross multiply
    59,643x = 91,374.75 × 91,374.75
  4. Step 4: Simplify right side
    59,643x = 8,349,344,937.56
  5. Step 5: Solve for x
    x = 8,349,344,937.56/59,643
  6. Step 6: Final answer
    x = 139,988.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.