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Finding the Third Proportional to 48,122 and 75,507

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Solution

The third proportional to 48,122 and 75,507 is: 118,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,122 : 75,507 = 75,507 : x
  2. Step 2: Convert to fraction form
    48,122/75,507 = 75,507/x
  3. Step 3: Cross multiply
    48,122x = 75,507 × 75,507
  4. Step 4: Simplify right side
    48,122x = 5,701,307,049
  5. Step 5: Solve for x
    x = 5,701,307,049/48,122
  6. Step 6: Final answer
    x = 118,476.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.