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Finding the Third Proportional to 58,411.13 and 89,272.13

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Solution

The third proportional to 58,411.13 and 89,272.13 is: 136,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,411.13 : 89,272.13 = 89,272.13 : x
  2. Step 2: Convert to fraction form
    58,411.13/89,272.13 = 89,272.13/x
  3. Step 3: Cross multiply
    58,411.13x = 89,272.13 × 89,272.13
  4. Step 4: Simplify right side
    58,411.13x = 7,969,512,302.02
  5. Step 5: Solve for x
    x = 7,969,512,302.02/58,411.13
  6. Step 6: Final answer
    x = 136,438.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.