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Finding the Third Proportional to 71,485 and 152,786

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Solution

The third proportional to 71,485 and 152,786 is: 326,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,485 : 152,786 = 152,786 : x
  2. Step 2: Convert to fraction form
    71,485/152,786 = 152,786/x
  3. Step 3: Cross multiply
    71,485x = 152,786 × 152,786
  4. Step 4: Simplify right side
    71,485x = 23,343,561,796
  5. Step 5: Solve for x
    x = 23,343,561,796/71,485
  6. Step 6: Final answer
    x = 326,551.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.