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Finding the Third Proportional to 66,473.16 and 145,862.02

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Solution

The third proportional to 66,473.16 and 145,862.02 is: 320,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,473.16 : 145,862.02 = 145,862.02 : x
  2. Step 2: Convert to fraction form
    66,473.16/145,862.02 = 145,862.02/x
  3. Step 3: Cross multiply
    66,473.16x = 145,862.02 × 145,862.02
  4. Step 4: Simplify right side
    66,473.16x = 21,275,727,602.19
  5. Step 5: Solve for x
    x = 21,275,727,602.19/66,473.16
  6. Step 6: Final answer
    x = 320,064.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.