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Finding the Third Proportional to 58,926 and 91,387

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Solution

The third proportional to 58,926 and 91,387 is: 141,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,926 : 91,387 = 91,387 : x
  2. Step 2: Convert to fraction form
    58,926/91,387 = 91,387/x
  3. Step 3: Cross multiply
    58,926x = 91,387 × 91,387
  4. Step 4: Simplify right side
    58,926x = 8,351,583,769
  5. Step 5: Solve for x
    x = 8,351,583,769/58,926
  6. Step 6: Final answer
    x = 141,730.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.