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Finding the Third Proportional to 120,637.50 and 158,637

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Solution

The third proportional to 120,637.50 and 158,637 is: 208,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,637.50 : 158,637 = 158,637 : x
  2. Step 2: Convert to fraction form
    120,637.50/158,637 = 158,637/x
  3. Step 3: Cross multiply
    120,637.50x = 158,637 × 158,637
  4. Step 4: Simplify right side
    120,637.50x = 25,165,697,769
  5. Step 5: Solve for x
    x = 25,165,697,769/120,637.50
  6. Step 6: Final answer
    x = 208,605.93

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.