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Finding the Third Proportional to 125,300 and 282,146

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Solution

The third proportional to 125,300 and 282,146 is: 635,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,300 : 282,146 = 282,146 : x
  2. Step 2: Convert to fraction form
    125,300/282,146 = 282,146/x
  3. Step 3: Cross multiply
    125,300x = 282,146 × 282,146
  4. Step 4: Simplify right side
    125,300x = 79,606,365,316
  5. Step 5: Solve for x
    x = 79,606,365,316/125,300
  6. Step 6: Final answer
    x = 635,326.14

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.