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Finding the Third Proportional to 89,237.38 and 138,176.06

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Solution

The third proportional to 89,237.38 and 138,176.06 is: 213,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,237.38 : 138,176.06 = 138,176.06 : x
  2. Step 2: Convert to fraction form
    89,237.38/138,176.06 = 138,176.06/x
  3. Step 3: Cross multiply
    89,237.38x = 138,176.06 × 138,176.06
  4. Step 4: Simplify right side
    89,237.38x = 19,092,624,248.00
  5. Step 5: Solve for x
    x = 19,092,624,248.00/89,237.38
  6. Step 6: Final answer
    x = 213,953.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.