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Finding the Third Proportional to 92,735.50 and 145,630.50

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Solution

The third proportional to 92,735.50 and 145,630.50 is: 228,696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,735.50 : 145,630.50 = 145,630.50 : x
  2. Step 2: Convert to fraction form
    92,735.50/145,630.50 = 145,630.50/x
  3. Step 3: Cross multiply
    92,735.50x = 145,630.50 × 145,630.50
  4. Step 4: Simplify right side
    92,735.50x = 21,208,242,530.25
  5. Step 5: Solve for x
    x = 21,208,242,530.25/92,735.50
  6. Step 6: Final answer
    x = 228,696.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.