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Finding the Third Proportional to 66,014 and 144,070

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Solution

The third proportional to 66,014 and 144,070 is: 314,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,014 : 144,070 = 144,070 : x
  2. Step 2: Convert to fraction form
    66,014/144,070 = 144,070/x
  3. Step 3: Cross multiply
    66,014x = 144,070 × 144,070
  4. Step 4: Simplify right side
    66,014x = 20,756,164,900
  5. Step 5: Solve for x
    x = 20,756,164,900/66,014
  6. Step 6: Final answer
    x = 314,420.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.