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Finding the Third Proportional to 52,528 and 75,511

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Solution

The third proportional to 52,528 and 75,511 is: 108,549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,528 : 75,511 = 75,511 : x
  2. Step 2: Convert to fraction form
    52,528/75,511 = 75,511/x
  3. Step 3: Cross multiply
    52,528x = 75,511 × 75,511
  4. Step 4: Simplify right side
    52,528x = 5,701,911,121
  5. Step 5: Solve for x
    x = 5,701,911,121/52,528
  6. Step 6: Final answer
    x = 108,549.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.