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Finding the Third Proportional to 64,850 and 141,056

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Solution

The third proportional to 64,850 and 141,056 is: 306,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,850 : 141,056 = 141,056 : x
  2. Step 2: Convert to fraction form
    64,850/141,056 = 141,056/x
  3. Step 3: Cross multiply
    64,850x = 141,056 × 141,056
  4. Step 4: Simplify right side
    64,850x = 19,896,795,136
  5. Step 5: Solve for x
    x = 19,896,795,136/64,850
  6. Step 6: Final answer
    x = 306,812.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.