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Finding the Third Proportional to 76,442.06 and 112,416.19

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Solution

The third proportional to 76,442.06 and 112,416.19 is: 165,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,442.06 : 112,416.19 = 112,416.19 : x
  2. Step 2: Convert to fraction form
    76,442.06/112,416.19 = 112,416.19/x
  3. Step 3: Cross multiply
    76,442.06x = 112,416.19 × 112,416.19
  4. Step 4: Simplify right side
    76,442.06x = 12,637,399,212.04
  5. Step 5: Solve for x
    x = 12,637,399,212.04/76,442.06
  6. Step 6: Final answer
    x = 165,319.97

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Why These Related Problems?

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