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Finding the Third Proportional to 88,506 and 191,781

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Solution

The third proportional to 88,506 and 191,781 is: 415,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,506 : 191,781 = 191,781 : x
  2. Step 2: Convert to fraction form
    88,506/191,781 = 191,781/x
  3. Step 3: Cross multiply
    88,506x = 191,781 × 191,781
  4. Step 4: Simplify right side
    88,506x = 36,779,951,961
  5. Step 5: Solve for x
    x = 36,779,951,961/88,506
  6. Step 6: Final answer
    x = 415,564.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.