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Finding the Third Proportional to 48,607 and 75,065

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Solution

The third proportional to 48,607 and 75,065 is: 115,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,607 : 75,065 = 75,065 : x
  2. Step 2: Convert to fraction form
    48,607/75,065 = 75,065/x
  3. Step 3: Cross multiply
    48,607x = 75,065 × 75,065
  4. Step 4: Simplify right side
    48,607x = 5,634,754,225
  5. Step 5: Solve for x
    x = 5,634,754,225/48,607
  6. Step 6: Final answer
    x = 115,924.75

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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.