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Finding the Third Proportional to 105,594 and 153,639

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Solution

The third proportional to 105,594 and 153,639 is: 223,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,594 : 153,639 = 153,639 : x
  2. Step 2: Convert to fraction form
    105,594/153,639 = 153,639/x
  3. Step 3: Cross multiply
    105,594x = 153,639 × 153,639
  4. Step 4: Simplify right side
    105,594x = 23,604,942,321
  5. Step 5: Solve for x
    x = 23,604,942,321/105,594
  6. Step 6: Final answer
    x = 223,544.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.