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Finding the Third Proportional to 57,595.13 and 90,154.88

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Solution

The third proportional to 57,595.13 and 90,154.88 is: 141,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,595.13 : 90,154.88 = 90,154.88 : x
  2. Step 2: Convert to fraction form
    57,595.13/90,154.88 = 90,154.88/x
  3. Step 3: Cross multiply
    57,595.13x = 90,154.88 × 90,154.88
  4. Step 4: Simplify right side
    57,595.13x = 8,127,901,486.27
  5. Step 5: Solve for x
    x = 8,127,901,486.27/57,595.13
  6. Step 6: Final answer
    x = 141,121.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.