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Finding the Third Proportional to 104,528 and 229,072

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Solution

The third proportional to 104,528 and 229,072 is: 502,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,528 : 229,072 = 229,072 : x
  2. Step 2: Convert to fraction form
    104,528/229,072 = 229,072/x
  3. Step 3: Cross multiply
    104,528x = 229,072 × 229,072
  4. Step 4: Simplify right side
    104,528x = 52,473,981,184
  5. Step 5: Solve for x
    x = 52,473,981,184/104,528
  6. Step 6: Final answer
    x = 502,008.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.