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Finding the Third Proportional to 48,572 and 72,904

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Solution

The third proportional to 48,572 and 72,904 is: 109,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,572 : 72,904 = 72,904 : x
  2. Step 2: Convert to fraction form
    48,572/72,904 = 72,904/x
  3. Step 3: Cross multiply
    48,572x = 72,904 × 72,904
  4. Step 4: Simplify right side
    48,572x = 5,314,993,216
  5. Step 5: Solve for x
    x = 5,314,993,216/48,572
  6. Step 6: Final answer
    x = 109,425.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.