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Finding the Third Proportional to 130,142 and 176,778

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Solution

The third proportional to 130,142 and 176,778 is: 240,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,142 : 176,778 = 176,778 : x
  2. Step 2: Convert to fraction form
    130,142/176,778 = 176,778/x
  3. Step 3: Cross multiply
    130,142x = 176,778 × 176,778
  4. Step 4: Simplify right side
    130,142x = 31,250,461,284
  5. Step 5: Solve for x
    x = 31,250,461,284/130,142
  6. Step 6: Final answer
    x = 240,125.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.