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Finding the Third Proportional to 57,295.13 and 90,703.69

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Solution

The third proportional to 57,295.13 and 90,703.69 is: 143,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,295.13 : 90,703.69 = 90,703.69 : x
  2. Step 2: Convert to fraction form
    57,295.13/90,703.69 = 90,703.69/x
  3. Step 3: Cross multiply
    57,295.13x = 90,703.69 × 90,703.69
  4. Step 4: Simplify right side
    57,295.13x = 8,227,158,926.10
  5. Step 5: Solve for x
    x = 8,227,158,926.10/57,295.13
  6. Step 6: Final answer
    x = 143,592.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.