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Finding the Third Proportional to 70,746 and 152,544

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Solution

The third proportional to 70,746 and 152,544 is: 328,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,746 : 152,544 = 152,544 : x
  2. Step 2: Convert to fraction form
    70,746/152,544 = 152,544/x
  3. Step 3: Cross multiply
    70,746x = 152,544 × 152,544
  4. Step 4: Simplify right side
    70,746x = 23,269,671,936
  5. Step 5: Solve for x
    x = 23,269,671,936/70,746
  6. Step 6: Final answer
    x = 328,918.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.