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Finding the Third Proportional to 55,358 and 119,466

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Solution

The third proportional to 55,358 and 119,466 is: 257,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,358 : 119,466 = 119,466 : x
  2. Step 2: Convert to fraction form
    55,358/119,466 = 119,466/x
  3. Step 3: Cross multiply
    55,358x = 119,466 × 119,466
  4. Step 4: Simplify right side
    55,358x = 14,272,125,156
  5. Step 5: Solve for x
    x = 14,272,125,156/55,358
  6. Step 6: Final answer
    x = 257,815.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.