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Finding the Third Proportional to 127,146 and 186,829

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Solution

The third proportional to 127,146 and 186,829 is: 274,527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,146 : 186,829 = 186,829 : x
  2. Step 2: Convert to fraction form
    127,146/186,829 = 186,829/x
  3. Step 3: Cross multiply
    127,146x = 186,829 × 186,829
  4. Step 4: Simplify right side
    127,146x = 34,905,075,241
  5. Step 5: Solve for x
    x = 34,905,075,241/127,146
  6. Step 6: Final answer
    x = 274,527.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.