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Finding the Third Proportional to 78,864.75 and 171,041.63

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Solution

The third proportional to 78,864.75 and 171,041.63 is: 370,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,864.75 : 171,041.63 = 171,041.63 : x
  2. Step 2: Convert to fraction form
    78,864.75/171,041.63 = 171,041.63/x
  3. Step 3: Cross multiply
    78,864.75x = 171,041.63 × 171,041.63
  4. Step 4: Simplify right side
    78,864.75x = 29,255,237,482.64
  5. Step 5: Solve for x
    x = 29,255,237,482.64/78,864.75
  6. Step 6: Final answer
    x = 370,954.55

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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.