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Finding the Third Proportional to 50,153.34 and 77,908.08

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Solution

The third proportional to 50,153.34 and 77,908.08 is: 121,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,153.34 : 77,908.08 = 77,908.08 : x
  2. Step 2: Convert to fraction form
    50,153.34/77,908.08 = 77,908.08/x
  3. Step 3: Cross multiply
    50,153.34x = 77,908.08 × 77,908.08
  4. Step 4: Simplify right side
    50,153.34x = 6,069,668,637.13
  5. Step 5: Solve for x
    x = 6,069,668,637.13/50,153.34
  6. Step 6: Final answer
    x = 121,022.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.