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Finding the Third Proportional to 46,768 and 72,452

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Solution

The third proportional to 46,768 and 72,452 is: 112,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,768 : 72,452 = 72,452 : x
  2. Step 2: Convert to fraction form
    46,768/72,452 = 72,452/x
  3. Step 3: Cross multiply
    46,768x = 72,452 × 72,452
  4. Step 4: Simplify right side
    46,768x = 5,249,292,304
  5. Step 5: Solve for x
    x = 5,249,292,304/46,768
  6. Step 6: Final answer
    x = 112,241.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.