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Finding the Third Proportional to 48,125 and 74,066

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Solution

The third proportional to 48,125 and 74,066 is: 113,990.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,125 : 74,066 = 74,066 : x
  2. Step 2: Convert to fraction form
    48,125/74,066 = 74,066/x
  3. Step 3: Cross multiply
    48,125x = 74,066 × 74,066
  4. Step 4: Simplify right side
    48,125x = 5,485,772,356
  5. Step 5: Solve for x
    x = 5,485,772,356/48,125
  6. Step 6: Final answer
    x = 113,990.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.