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Finding the Third Proportional to 122,763.50 and 191,607

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Solution

The third proportional to 122,763.50 and 191,607 is: 299,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,763.50 : 191,607 = 191,607 : x
  2. Step 2: Convert to fraction form
    122,763.50/191,607 = 191,607/x
  3. Step 3: Cross multiply
    122,763.50x = 191,607 × 191,607
  4. Step 4: Simplify right side
    122,763.50x = 36,713,242,449
  5. Step 5: Solve for x
    x = 36,713,242,449/122,763.50
  6. Step 6: Final answer
    x = 299,056.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.