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Finding the Third Proportional to 72,646.88 and 153,955.69

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Solution

The third proportional to 72,646.88 and 153,955.69 is: 326,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,646.88 : 153,955.69 = 153,955.69 : x
  2. Step 2: Convert to fraction form
    72,646.88/153,955.69 = 153,955.69/x
  3. Step 3: Cross multiply
    72,646.88x = 153,955.69 × 153,955.69
  4. Step 4: Simplify right side
    72,646.88x = 23,702,353,713.60
  5. Step 5: Solve for x
    x = 23,702,353,713.60/72,646.88
  6. Step 6: Final answer
    x = 326,268.04

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.