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Finding the Third Proportional to 76,359 and 112,250.25

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Solution

The third proportional to 76,359 and 112,250.25 is: 165,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,359 : 112,250.25 = 112,250.25 : x
  2. Step 2: Convert to fraction form
    76,359/112,250.25 = 112,250.25/x
  3. Step 3: Cross multiply
    76,359x = 112,250.25 × 112,250.25
  4. Step 4: Simplify right side
    76,359x = 12,600,118,625.06
  5. Step 5: Solve for x
    x = 12,600,118,625.06/76,359
  6. Step 6: Final answer
    x = 165,011.57

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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.