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Finding the Third Proportional to 66,501 and 143,552.25

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Solution

The third proportional to 66,501 and 143,552.25 is: 309,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,501 : 143,552.25 = 143,552.25 : x
  2. Step 2: Convert to fraction form
    66,501/143,552.25 = 143,552.25/x
  3. Step 3: Cross multiply
    66,501x = 143,552.25 × 143,552.25
  4. Step 4: Simplify right side
    66,501x = 20,607,248,480.06
  5. Step 5: Solve for x
    x = 20,607,248,480.06/66,501
  6. Step 6: Final answer
    x = 309,878.78

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Why These Related Problems?

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