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Finding the Third Proportional to 58,882 and 127,154

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Solution

The third proportional to 58,882 and 127,154 is: 274,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,882 : 127,154 = 127,154 : x
  2. Step 2: Convert to fraction form
    58,882/127,154 = 127,154/x
  3. Step 3: Cross multiply
    58,882x = 127,154 × 127,154
  4. Step 4: Simplify right side
    58,882x = 16,168,139,716
  5. Step 5: Solve for x
    x = 16,168,139,716/58,882
  6. Step 6: Final answer
    x = 274,585.44

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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.