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Finding the Third Proportional to 58,187 and 88,972

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Solution

The third proportional to 58,187 and 88,972 is: 136,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,187 : 88,972 = 88,972 : x
  2. Step 2: Convert to fraction form
    58,187/88,972 = 88,972/x
  3. Step 3: Cross multiply
    58,187x = 88,972 × 88,972
  4. Step 4: Simplify right side
    58,187x = 7,916,016,784
  5. Step 5: Solve for x
    x = 7,916,016,784/58,187
  6. Step 6: Final answer
    x = 136,044.42

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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.