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Finding the Third Proportional to 122,468 and 185,547

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Solution

The third proportional to 122,468 and 185,547 is: 281,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,468 : 185,547 = 185,547 : x
  2. Step 2: Convert to fraction form
    122,468/185,547 = 185,547/x
  3. Step 3: Cross multiply
    122,468x = 185,547 × 185,547
  4. Step 4: Simplify right side
    122,468x = 34,427,689,209
  5. Step 5: Solve for x
    x = 34,427,689,209/122,468
  6. Step 6: Final answer
    x = 281,115.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.