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Finding the Third Proportional to 52,870 and 77,844

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Solution

The third proportional to 52,870 and 77,844 is: 114,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,870 : 77,844 = 77,844 : x
  2. Step 2: Convert to fraction form
    52,870/77,844 = 77,844/x
  3. Step 3: Cross multiply
    52,870x = 77,844 × 77,844
  4. Step 4: Simplify right side
    52,870x = 6,059,688,336
  5. Step 5: Solve for x
    x = 6,059,688,336/52,870
  6. Step 6: Final answer
    x = 114,614.87

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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.