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Finding the Third Proportional to 72,265 and 154,574

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Solution

The third proportional to 72,265 and 154,574 is: 330,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,265 : 154,574 = 154,574 : x
  2. Step 2: Convert to fraction form
    72,265/154,574 = 154,574/x
  3. Step 3: Cross multiply
    72,265x = 154,574 × 154,574
  4. Step 4: Simplify right side
    72,265x = 23,893,121,476
  5. Step 5: Solve for x
    x = 23,893,121,476/72,265
  6. Step 6: Final answer
    x = 330,632.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.