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Finding the Third Proportional to 91,466 and 128,127

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Solution

The third proportional to 91,466 and 128,127 is: 179,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,466 : 128,127 = 128,127 : x
  2. Step 2: Convert to fraction form
    91,466/128,127 = 128,127/x
  3. Step 3: Cross multiply
    91,466x = 128,127 × 128,127
  4. Step 4: Simplify right side
    91,466x = 16,416,528,129
  5. Step 5: Solve for x
    x = 16,416,528,129/91,466
  6. Step 6: Final answer
    x = 179,482.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.