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Finding the Third Proportional to 79,448 and 174,070

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Solution

The third proportional to 79,448 and 174,070 is: 381,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,448 : 174,070 = 174,070 : x
  2. Step 2: Convert to fraction form
    79,448/174,070 = 174,070/x
  3. Step 3: Cross multiply
    79,448x = 174,070 × 174,070
  4. Step 4: Simplify right side
    79,448x = 30,300,364,900
  5. Step 5: Solve for x
    x = 30,300,364,900/79,448
  6. Step 6: Final answer
    x = 381,386.13

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