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Finding the Third Proportional to 52,434 and 112,282.88

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Solution

The third proportional to 52,434 and 112,282.88 is: 240,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,434 : 112,282.88 = 112,282.88 : x
  2. Step 2: Convert to fraction form
    52,434/112,282.88 = 112,282.88/x
  3. Step 3: Cross multiply
    52,434x = 112,282.88 × 112,282.88
  4. Step 4: Simplify right side
    52,434x = 12,607,444,018.27
  5. Step 5: Solve for x
    x = 12,607,444,018.27/52,434
  6. Step 6: Final answer
    x = 240,444.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.