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Finding the Third Proportional to 85,503 and 127,776

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Solution

The third proportional to 85,503 and 127,776 is: 190,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,503 : 127,776 = 127,776 : x
  2. Step 2: Convert to fraction form
    85,503/127,776 = 127,776/x
  3. Step 3: Cross multiply
    85,503x = 127,776 × 127,776
  4. Step 4: Simplify right side
    85,503x = 16,326,706,176
  5. Step 5: Solve for x
    x = 16,326,706,176/85,503
  6. Step 6: Final answer
    x = 190,948.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.