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Finding the Third Proportional to 58,136 and 87,630

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Solution

The third proportional to 58,136 and 87,630 is: 132,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,136 : 87,630 = 87,630 : x
  2. Step 2: Convert to fraction form
    58,136/87,630 = 87,630/x
  3. Step 3: Cross multiply
    58,136x = 87,630 × 87,630
  4. Step 4: Simplify right side
    58,136x = 7,679,016,900
  5. Step 5: Solve for x
    x = 7,679,016,900/58,136
  6. Step 6: Final answer
    x = 132,087.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.