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Finding the Third Proportional to 107,982 and 169,056

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Solution

The third proportional to 107,982 and 169,056 is: 264,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,982 : 169,056 = 169,056 : x
  2. Step 2: Convert to fraction form
    107,982/169,056 = 169,056/x
  3. Step 3: Cross multiply
    107,982x = 169,056 × 169,056
  4. Step 4: Simplify right side
    107,982x = 28,579,931,136
  5. Step 5: Solve for x
    x = 28,579,931,136/107,982
  6. Step 6: Final answer
    x = 264,673.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.