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Finding the Third Proportional to 58,234 and 91,887

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Solution

The third proportional to 58,234 and 91,887 is: 144,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,234 : 91,887 = 91,887 : x
  2. Step 2: Convert to fraction form
    58,234/91,887 = 91,887/x
  3. Step 3: Cross multiply
    58,234x = 91,887 × 91,887
  4. Step 4: Simplify right side
    58,234x = 8,443,220,769
  5. Step 5: Solve for x
    x = 8,443,220,769/58,234
  6. Step 6: Final answer
    x = 144,987.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.