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Finding the Third Proportional to 61,210.69 and 129,767.06

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Solution

The third proportional to 61,210.69 and 129,767.06 is: 275,107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,210.69 : 129,767.06 = 129,767.06 : x
  2. Step 2: Convert to fraction form
    61,210.69/129,767.06 = 129,767.06/x
  3. Step 3: Cross multiply
    61,210.69x = 129,767.06 × 129,767.06
  4. Step 4: Simplify right side
    61,210.69x = 16,839,490,509.88
  5. Step 5: Solve for x
    x = 16,839,490,509.88/61,210.69
  6. Step 6: Final answer
    x = 275,107.03

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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.