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Finding the Third Proportional to 58,952.25 and 83,335.88

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Solution

The third proportional to 58,952.25 and 83,335.88 is: 117,804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,952.25 : 83,335.88 = 83,335.88 : x
  2. Step 2: Convert to fraction form
    58,952.25/83,335.88 = 83,335.88/x
  3. Step 3: Cross multiply
    58,952.25x = 83,335.88 × 83,335.88
  4. Step 4: Simplify right side
    58,952.25x = 6,944,868,062.02
  5. Step 5: Solve for x
    x = 6,944,868,062.02/58,952.25
  6. Step 6: Final answer
    x = 117,804.97

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.