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Finding the Third Proportional to 59,461 and 81,537

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Solution

The third proportional to 59,461 and 81,537 is: 111,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,461 : 81,537 = 81,537 : x
  2. Step 2: Convert to fraction form
    59,461/81,537 = 81,537/x
  3. Step 3: Cross multiply
    59,461x = 81,537 × 81,537
  4. Step 4: Simplify right side
    59,461x = 6,648,282,369
  5. Step 5: Solve for x
    x = 6,648,282,369/59,461
  6. Step 6: Final answer
    x = 111,809.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.