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Finding the Third Proportional to 94,604 and 142,304.50

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Solution

The third proportional to 94,604 and 142,304.50 is: 214,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,604 : 142,304.50 = 142,304.50 : x
  2. Step 2: Convert to fraction form
    94,604/142,304.50 = 142,304.50/x
  3. Step 3: Cross multiply
    94,604x = 142,304.50 × 142,304.50
  4. Step 4: Simplify right side
    94,604x = 20,250,570,720.25
  5. Step 5: Solve for x
    x = 20,250,570,720.25/94,604
  6. Step 6: Final answer
    x = 214,056.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.