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Finding the Third Proportional to 96,639 and 153,742.50

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Solution

The third proportional to 96,639 and 153,742.50 is: 244,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,639 : 153,742.50 = 153,742.50 : x
  2. Step 2: Convert to fraction form
    96,639/153,742.50 = 153,742.50/x
  3. Step 3: Cross multiply
    96,639x = 153,742.50 × 153,742.50
  4. Step 4: Simplify right side
    96,639x = 23,636,756,306.25
  5. Step 5: Solve for x
    x = 23,636,756,306.25/96,639
  6. Step 6: Final answer
    x = 244,588.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.