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Finding the Third Proportional to 78,475 and 169,989

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Solution

The third proportional to 78,475 and 169,989 is: 368,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,475 : 169,989 = 169,989 : x
  2. Step 2: Convert to fraction form
    78,475/169,989 = 169,989/x
  3. Step 3: Cross multiply
    78,475x = 169,989 × 169,989
  4. Step 4: Simplify right side
    78,475x = 28,896,260,121
  5. Step 5: Solve for x
    x = 28,896,260,121/78,475
  6. Step 6: Final answer
    x = 368,222.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.