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Finding the Third Proportional to 74,175 and 153,602.25

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Solution

The third proportional to 74,175 and 153,602.25 is: 318,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,175 : 153,602.25 = 153,602.25 : x
  2. Step 2: Convert to fraction form
    74,175/153,602.25 = 153,602.25/x
  3. Step 3: Cross multiply
    74,175x = 153,602.25 × 153,602.25
  4. Step 4: Simplify right side
    74,175x = 23,593,651,205.06
  5. Step 5: Solve for x
    x = 23,593,651,205.06/74,175
  6. Step 6: Final answer
    x = 318,080.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.