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Finding the Third Proportional to 76,345.88 and 112,239

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Solution

The third proportional to 76,345.88 and 112,239 is: 165,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,345.88 : 112,239 = 112,239 : x
  2. Step 2: Convert to fraction form
    76,345.88/112,239 = 112,239/x
  3. Step 3: Cross multiply
    76,345.88x = 112,239 × 112,239
  4. Step 4: Simplify right side
    76,345.88x = 12,597,593,121
  5. Step 5: Solve for x
    x = 12,597,593,121/76,345.88
  6. Step 6: Final answer
    x = 165,006.86

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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.