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Finding the Third Proportional to 66,020 and 97,574

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Solution

The third proportional to 66,020 and 97,574 is: 144,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,020 : 97,574 = 97,574 : x
  2. Step 2: Convert to fraction form
    66,020/97,574 = 97,574/x
  3. Step 3: Cross multiply
    66,020x = 97,574 × 97,574
  4. Step 4: Simplify right side
    66,020x = 9,520,685,476
  5. Step 5: Solve for x
    x = 9,520,685,476/66,020
  6. Step 6: Final answer
    x = 144,209.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.