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Finding the Third Proportional to 90,053.02 and 141,260.84

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Solution

The third proportional to 90,053.02 and 141,260.84 is: 221,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,053.02 : 141,260.84 = 141,260.84 : x
  2. Step 2: Convert to fraction form
    90,053.02/141,260.84 = 141,260.84/x
  3. Step 3: Cross multiply
    90,053.02x = 141,260.84 × 141,260.84
  4. Step 4: Simplify right side
    90,053.02x = 19,954,623,769.76
  5. Step 5: Solve for x
    x = 19,954,623,769.76/90,053.02
  6. Step 6: Final answer
    x = 221,587.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.