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Finding the Third Proportional to 69,570 and 112,009.50

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Solution

The third proportional to 69,570 and 112,009.50 is: 180,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,570 : 112,009.50 = 112,009.50 : x
  2. Step 2: Convert to fraction form
    69,570/112,009.50 = 112,009.50/x
  3. Step 3: Cross multiply
    69,570x = 112,009.50 × 112,009.50
  4. Step 4: Simplify right side
    69,570x = 12,546,128,090.25
  5. Step 5: Solve for x
    x = 12,546,128,090.25/69,570
  6. Step 6: Final answer
    x = 180,338.19

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.