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Finding the Third Proportional to 76,345.31 and 112,298.06

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Solution

The third proportional to 76,345.31 and 112,298.06 is: 165,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,345.31 : 112,298.06 = 112,298.06 : x
  2. Step 2: Convert to fraction form
    76,345.31/112,298.06 = 112,298.06/x
  3. Step 3: Cross multiply
    76,345.31x = 112,298.06 × 112,298.06
  4. Step 4: Simplify right side
    76,345.31x = 12,610,854,841.25
  5. Step 5: Solve for x
    x = 12,610,854,841.25/76,345.31
  6. Step 6: Final answer
    x = 165,181.78

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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.