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Finding the Third Proportional to 66,587 and 143,056

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Solution

The third proportional to 66,587 and 143,056 is: 307,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,587 : 143,056 = 143,056 : x
  2. Step 2: Convert to fraction form
    66,587/143,056 = 143,056/x
  3. Step 3: Cross multiply
    66,587x = 143,056 × 143,056
  4. Step 4: Simplify right side
    66,587x = 20,465,019,136
  5. Step 5: Solve for x
    x = 20,465,019,136/66,587
  6. Step 6: Final answer
    x = 307,342.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.