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Finding the Third Proportional to 111,582 and 242,118

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Solution

The third proportional to 111,582 and 242,118 is: 525,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,582 : 242,118 = 242,118 : x
  2. Step 2: Convert to fraction form
    111,582/242,118 = 242,118/x
  3. Step 3: Cross multiply
    111,582x = 242,118 × 242,118
  4. Step 4: Simplify right side
    111,582x = 58,621,125,924
  5. Step 5: Solve for x
    x = 58,621,125,924/111,582
  6. Step 6: Final answer
    x = 525,363.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.