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Finding the Third Proportional to 50,528 and 84,209

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Solution

The third proportional to 50,528 and 84,209 is: 140,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,528 : 84,209 = 84,209 : x
  2. Step 2: Convert to fraction form
    50,528/84,209 = 84,209/x
  3. Step 3: Cross multiply
    50,528x = 84,209 × 84,209
  4. Step 4: Simplify right side
    50,528x = 7,091,155,681
  5. Step 5: Solve for x
    x = 7,091,155,681/50,528
  6. Step 6: Final answer
    x = 140,341.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.