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Finding the Third Proportional to 48,506 and 72,818

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Solution

The third proportional to 48,506 and 72,818 is: 109,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,506 : 72,818 = 72,818 : x
  2. Step 2: Convert to fraction form
    48,506/72,818 = 72,818/x
  3. Step 3: Cross multiply
    48,506x = 72,818 × 72,818
  4. Step 4: Simplify right side
    48,506x = 5,302,461,124
  5. Step 5: Solve for x
    x = 5,302,461,124/48,506
  6. Step 6: Final answer
    x = 109,315.57

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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.