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Finding the Third Proportional to 63,056 and 94,658

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Solution

The third proportional to 63,056 and 94,658 is: 142,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,056 : 94,658 = 94,658 : x
  2. Step 2: Convert to fraction form
    63,056/94,658 = 94,658/x
  3. Step 3: Cross multiply
    63,056x = 94,658 × 94,658
  4. Step 4: Simplify right side
    63,056x = 8,960,136,964
  5. Step 5: Solve for x
    x = 8,960,136,964/63,056
  6. Step 6: Final answer
    x = 142,098.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.