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Finding the Third Proportional to 48,076 and 76,050

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Solution

The third proportional to 48,076 and 76,050 is: 120,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,076 : 76,050 = 76,050 : x
  2. Step 2: Convert to fraction form
    48,076/76,050 = 76,050/x
  3. Step 3: Cross multiply
    48,076x = 76,050 × 76,050
  4. Step 4: Simplify right side
    48,076x = 5,783,602,500
  5. Step 5: Solve for x
    x = 5,783,602,500/48,076
  6. Step 6: Final answer
    x = 120,301.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.