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Finding the Third Proportional to 58,543.88 and 138,155.06

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Solution

The third proportional to 58,543.88 and 138,155.06 is: 326,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,543.88 : 138,155.06 = 138,155.06 : x
  2. Step 2: Convert to fraction form
    58,543.88/138,155.06 = 138,155.06/x
  3. Step 3: Cross multiply
    58,543.88x = 138,155.06 × 138,155.06
  4. Step 4: Simplify right side
    58,543.88x = 19,086,821,294.38
  5. Step 5: Solve for x
    x = 19,086,821,294.38/58,543.88
  6. Step 6: Final answer
    x = 326,025.93

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Why These Related Problems?

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