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Finding the Third Proportional to 76,762.13 and 112,948.88

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Solution

The third proportional to 76,762.13 and 112,948.88 is: 166,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,762.13 : 112,948.88 = 112,948.88 : x
  2. Step 2: Convert to fraction form
    76,762.13/112,948.88 = 112,948.88/x
  3. Step 3: Cross multiply
    76,762.13x = 112,948.88 × 112,948.88
  4. Step 4: Simplify right side
    76,762.13x = 12,757,448,363.77
  5. Step 5: Solve for x
    x = 12,757,448,363.77/76,762.13
  6. Step 6: Final answer
    x = 166,194.57

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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.