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Finding the Third Proportional to 101,748 and 221,013

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Solution

The third proportional to 101,748 and 221,013 is: 480,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,748 : 221,013 = 221,013 : x
  2. Step 2: Convert to fraction form
    101,748/221,013 = 221,013/x
  3. Step 3: Cross multiply
    101,748x = 221,013 × 221,013
  4. Step 4: Simplify right side
    101,748x = 48,846,746,169
  5. Step 5: Solve for x
    x = 48,846,746,169/101,748
  6. Step 6: Final answer
    x = 480,075.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.