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Finding the Third Proportional to 34,209 and 74,952

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Solution

The third proportional to 34,209 and 74,952 is: 164,220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,209 : 74,952 = 74,952 : x
  2. Step 2: Convert to fraction form
    34,209/74,952 = 74,952/x
  3. Step 3: Cross multiply
    34,209x = 74,952 × 74,952
  4. Step 4: Simplify right side
    34,209x = 5,617,802,304
  5. Step 5: Solve for x
    x = 5,617,802,304/34,209
  6. Step 6: Final answer
    x = 164,220.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.