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Finding the Third Proportional to 64,160 and 92,417

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Solution

The third proportional to 64,160 and 92,417 is: 133,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,160 : 92,417 = 92,417 : x
  2. Step 2: Convert to fraction form
    64,160/92,417 = 92,417/x
  3. Step 3: Cross multiply
    64,160x = 92,417 × 92,417
  4. Step 4: Simplify right side
    64,160x = 8,540,901,889
  5. Step 5: Solve for x
    x = 8,540,901,889/64,160
  6. Step 6: Final answer
    x = 133,118.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.