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Finding the Third Proportional to 72,534 and 153,776

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Solution

The third proportional to 72,534 and 153,776 is: 326,013.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,534 : 153,776 = 153,776 : x
  2. Step 2: Convert to fraction form
    72,534/153,776 = 153,776/x
  3. Step 3: Cross multiply
    72,534x = 153,776 × 153,776
  4. Step 4: Simplify right side
    72,534x = 23,647,058,176
  5. Step 5: Solve for x
    x = 23,647,058,176/72,534
  6. Step 6: Final answer
    x = 326,013.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.