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Finding the Third Proportional to 56,076 and 93,459

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Solution

The third proportional to 56,076 and 93,459 is: 155,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,076 : 93,459 = 93,459 : x
  2. Step 2: Convert to fraction form
    56,076/93,459 = 93,459/x
  3. Step 3: Cross multiply
    56,076x = 93,459 × 93,459
  4. Step 4: Simplify right side
    56,076x = 8,734,584,681
  5. Step 5: Solve for x
    x = 8,734,584,681/56,076
  6. Step 6: Final answer
    x = 155,763.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.