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Finding the Third Proportional to 35,460 and 72,540

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Solution

The third proportional to 35,460 and 72,540 is: 148,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,460 : 72,540 = 72,540 : x
  2. Step 2: Convert to fraction form
    35,460/72,540 = 72,540/x
  3. Step 3: Cross multiply
    35,460x = 72,540 × 72,540
  4. Step 4: Simplify right side
    35,460x = 5,262,051,600
  5. Step 5: Solve for x
    x = 5,262,051,600/35,460
  6. Step 6: Final answer
    x = 148,394.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.