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Finding the Third Proportional to 121,060 and 200,070

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Solution

The third proportional to 121,060 and 200,070 is: 330,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,060 : 200,070 = 200,070 : x
  2. Step 2: Convert to fraction form
    121,060/200,070 = 200,070/x
  3. Step 3: Cross multiply
    121,060x = 200,070 × 200,070
  4. Step 4: Simplify right side
    121,060x = 40,028,004,900
  5. Step 5: Solve for x
    x = 40,028,004,900/121,060
  6. Step 6: Final answer
    x = 330,646.00

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.