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Finding the Third Proportional to 58,471.88 and 88,938

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Solution

The third proportional to 58,471.88 and 88,938 is: 135,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,471.88 : 88,938 = 88,938 : x
  2. Step 2: Convert to fraction form
    58,471.88/88,938 = 88,938/x
  3. Step 3: Cross multiply
    58,471.88x = 88,938 × 88,938
  4. Step 4: Simplify right side
    58,471.88x = 7,909,967,844
  5. Step 5: Solve for x
    x = 7,909,967,844/58,471.88
  6. Step 6: Final answer
    x = 135,278.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.