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Finding the Third Proportional to 74,203.50 and 103,798.50

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Solution

The third proportional to 74,203.50 and 103,798.50 is: 145,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,203.50 : 103,798.50 = 103,798.50 : x
  2. Step 2: Convert to fraction form
    74,203.50/103,798.50 = 103,798.50/x
  3. Step 3: Cross multiply
    74,203.50x = 103,798.50 × 103,798.50
  4. Step 4: Simplify right side
    74,203.50x = 10,774,128,602.25
  5. Step 5: Solve for x
    x = 10,774,128,602.25/74,203.50
  6. Step 6: Final answer
    x = 145,197.04

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.