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Finding the Third Proportional to 125,416 and 254,072

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Solution

The third proportional to 125,416 and 254,072 is: 514,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,416 : 254,072 = 254,072 : x
  2. Step 2: Convert to fraction form
    125,416/254,072 = 254,072/x
  3. Step 3: Cross multiply
    125,416x = 254,072 × 254,072
  4. Step 4: Simplify right side
    125,416x = 64,552,581,184
  5. Step 5: Solve for x
    x = 64,552,581,184/125,416
  6. Step 6: Final answer
    x = 514,707.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.