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Finding the Third Proportional to 48,820 and 101,527.75

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Solution

The third proportional to 48,820 and 101,527.75 is: 211,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,820 : 101,527.75 = 101,527.75 : x
  2. Step 2: Convert to fraction form
    48,820/101,527.75 = 101,527.75/x
  3. Step 3: Cross multiply
    48,820x = 101,527.75 × 101,527.75
  4. Step 4: Simplify right side
    48,820x = 10,307,884,020.06
  5. Step 5: Solve for x
    x = 10,307,884,020.06/48,820
  6. Step 6: Final answer
    x = 211,140.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.