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Finding the Third Proportional to 52,301 and 78,569

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Solution

The third proportional to 52,301 and 78,569 is: 118,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,301 : 78,569 = 78,569 : x
  2. Step 2: Convert to fraction form
    52,301/78,569 = 78,569/x
  3. Step 3: Cross multiply
    52,301x = 78,569 × 78,569
  4. Step 4: Simplify right side
    52,301x = 6,173,087,761
  5. Step 5: Solve for x
    x = 6,173,087,761/52,301
  6. Step 6: Final answer
    x = 118,030.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.