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Finding the Third Proportional to 56,925.84 and 83,543.06

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Solution

The third proportional to 56,925.84 and 83,543.06 is: 122,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,925.84 : 83,543.06 = 83,543.06 : x
  2. Step 2: Convert to fraction form
    56,925.84/83,543.06 = 83,543.06/x
  3. Step 3: Cross multiply
    56,925.84x = 83,543.06 × 83,543.06
  4. Step 4: Simplify right side
    56,925.84x = 6,979,443,291.88
  5. Step 5: Solve for x
    x = 6,979,443,291.88/56,925.84
  6. Step 6: Final answer
    x = 122,605.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.