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Finding the Third Proportional to 58,587 and 138,244.50

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Solution

The third proportional to 58,587 and 138,244.50 is: 326,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,587 : 138,244.50 = 138,244.50 : x
  2. Step 2: Convert to fraction form
    58,587/138,244.50 = 138,244.50/x
  3. Step 3: Cross multiply
    58,587x = 138,244.50 × 138,244.50
  4. Step 4: Simplify right side
    58,587x = 19,111,541,780.25
  5. Step 5: Solve for x
    x = 19,111,541,780.25/58,587
  6. Step 6: Final answer
    x = 326,207.89

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.