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Finding the Third Proportional to 56,733.75 and 88,543.13

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Solution

The third proportional to 56,733.75 and 88,543.13 is: 138,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,733.75 : 88,543.13 = 88,543.13 : x
  2. Step 2: Convert to fraction form
    56,733.75/88,543.13 = 88,543.13/x
  3. Step 3: Cross multiply
    56,733.75x = 88,543.13 × 88,543.13
  4. Step 4: Simplify right side
    56,733.75x = 7,839,884,984.77
  5. Step 5: Solve for x
    x = 7,839,884,984.77/56,733.75
  6. Step 6: Final answer
    x = 138,187.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.