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Finding the Third Proportional to 48,739 and 101,307.50

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Solution

The third proportional to 48,739 and 101,307.50 is: 210,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,739 : 101,307.50 = 101,307.50 : x
  2. Step 2: Convert to fraction form
    48,739/101,307.50 = 101,307.50/x
  3. Step 3: Cross multiply
    48,739x = 101,307.50 × 101,307.50
  4. Step 4: Simplify right side
    48,739x = 10,263,209,556.25
  5. Step 5: Solve for x
    x = 10,263,209,556.25/48,739
  6. Step 6: Final answer
    x = 210,574.89

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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.