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Finding the Third Proportional to 75,572 and 164,959.50

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Solution

The third proportional to 75,572 and 164,959.50 is: 360,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,572 : 164,959.50 = 164,959.50 : x
  2. Step 2: Convert to fraction form
    75,572/164,959.50 = 164,959.50/x
  3. Step 3: Cross multiply
    75,572x = 164,959.50 × 164,959.50
  4. Step 4: Simplify right side
    75,572x = 27,211,636,640.25
  5. Step 5: Solve for x
    x = 27,211,636,640.25/75,572
  6. Step 6: Final answer
    x = 360,075.64

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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.