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Finding the Third Proportional to 78,033 and 117,598.50

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Solution

The third proportional to 78,033 and 117,598.50 is: 177,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,033 : 117,598.50 = 117,598.50 : x
  2. Step 2: Convert to fraction form
    78,033/117,598.50 = 117,598.50/x
  3. Step 3: Cross multiply
    78,033x = 117,598.50 × 117,598.50
  4. Step 4: Simplify right side
    78,033x = 13,829,407,202.25
  5. Step 5: Solve for x
    x = 13,829,407,202.25/78,033
  6. Step 6: Final answer
    x = 177,225.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.