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Finding the Third Proportional to 67,449 and 147,746.25

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Solution

The third proportional to 67,449 and 147,746.25 is: 323,636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,449 : 147,746.25 = 147,746.25 : x
  2. Step 2: Convert to fraction form
    67,449/147,746.25 = 147,746.25/x
  3. Step 3: Cross multiply
    67,449x = 147,746.25 × 147,746.25
  4. Step 4: Simplify right side
    67,449x = 21,828,954,389.06
  5. Step 5: Solve for x
    x = 21,828,954,389.06/67,449
  6. Step 6: Final answer
    x = 323,636.44

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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.