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Finding the Third Proportional to 75,547.69 and 164,574.28

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Solution

The third proportional to 75,547.69 and 164,574.28 is: 358,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,547.69 : 164,574.28 = 164,574.28 : x
  2. Step 2: Convert to fraction form
    75,547.69/164,574.28 = 164,574.28/x
  3. Step 3: Cross multiply
    75,547.69x = 164,574.28 × 164,574.28
  4. Step 4: Simplify right side
    75,547.69x = 27,084,694,048.95
  5. Step 5: Solve for x
    x = 27,084,694,048.95/75,547.69
  6. Step 6: Final answer
    x = 358,511.23

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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.