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Finding the Third Proportional to 78,545 and 169,545

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Solution

The third proportional to 78,545 and 169,545 is: 365,975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,545 : 169,545 = 169,545 : x
  2. Step 2: Convert to fraction form
    78,545/169,545 = 169,545/x
  3. Step 3: Cross multiply
    78,545x = 169,545 × 169,545
  4. Step 4: Simplify right side
    78,545x = 28,745,507,025
  5. Step 5: Solve for x
    x = 28,745,507,025/78,545
  6. Step 6: Final answer
    x = 365,975.01

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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.