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Finding the Third Proportional to 75,575.59 and 112,968.50

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Solution

The third proportional to 75,575.59 and 112,968.50 is: 168,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,575.59 : 112,968.50 = 112,968.50 : x
  2. Step 2: Convert to fraction form
    75,575.59/112,968.50 = 112,968.50/x
  3. Step 3: Cross multiply
    75,575.59x = 112,968.50 × 112,968.50
  4. Step 4: Simplify right side
    75,575.59x = 12,761,881,992.25
  5. Step 5: Solve for x
    x = 12,761,881,992.25/75,575.59
  6. Step 6: Final answer
    x = 168,862.48

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.