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Finding the Third Proportional to 113,377 and 176,957

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Solution

The third proportional to 113,377 and 176,957 is: 276,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,377 : 176,957 = 176,957 : x
  2. Step 2: Convert to fraction form
    113,377/176,957 = 176,957/x
  3. Step 3: Cross multiply
    113,377x = 176,957 × 176,957
  4. Step 4: Simplify right side
    113,377x = 31,313,779,849
  5. Step 5: Solve for x
    x = 31,313,779,849/113,377
  6. Step 6: Final answer
    x = 276,191.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.