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Finding the Third Proportional to 121,526 and 189,967

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Solution

The third proportional to 121,526 and 189,967 is: 296,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,526 : 189,967 = 189,967 : x
  2. Step 2: Convert to fraction form
    121,526/189,967 = 189,967/x
  3. Step 3: Cross multiply
    121,526x = 189,967 × 189,967
  4. Step 4: Simplify right side
    121,526x = 36,087,461,089
  5. Step 5: Solve for x
    x = 36,087,461,089/121,526
  6. Step 6: Final answer
    x = 296,952.60

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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.