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Finding the Third Proportional to 53,209 and 112,908

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Solution

The third proportional to 53,209 and 112,908 is: 239,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,209 : 112,908 = 112,908 : x
  2. Step 2: Convert to fraction form
    53,209/112,908 = 112,908/x
  3. Step 3: Cross multiply
    53,209x = 112,908 × 112,908
  4. Step 4: Simplify right side
    53,209x = 12,748,216,464
  5. Step 5: Solve for x
    x = 12,748,216,464/53,209
  6. Step 6: Final answer
    x = 239,587.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.