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Finding the Third Proportional to 112,526 and 240,118

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Solution

The third proportional to 112,526 and 240,118 is: 512,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,526 : 240,118 = 240,118 : x
  2. Step 2: Convert to fraction form
    112,526/240,118 = 240,118/x
  3. Step 3: Cross multiply
    112,526x = 240,118 × 240,118
  4. Step 4: Simplify right side
    112,526x = 57,656,653,924
  5. Step 5: Solve for x
    x = 57,656,653,924/112,526
  6. Step 6: Final answer
    x = 512,385.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.