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Finding the Third Proportional to 78,264.50 and 169,035

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Solution

The third proportional to 78,264.50 and 169,035 is: 365,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,264.50 : 169,035 = 169,035 : x
  2. Step 2: Convert to fraction form
    78,264.50/169,035 = 169,035/x
  3. Step 3: Cross multiply
    78,264.50x = 169,035 × 169,035
  4. Step 4: Simplify right side
    78,264.50x = 28,572,831,225
  5. Step 5: Solve for x
    x = 28,572,831,225/78,264.50
  6. Step 6: Final answer
    x = 365,080.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.