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Finding the Third Proportional to 69,032.25 and 109,111.50

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Solution

The third proportional to 69,032.25 and 109,111.50 is: 172,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,032.25 : 109,111.50 = 109,111.50 : x
  2. Step 2: Convert to fraction form
    69,032.25/109,111.50 = 109,111.50/x
  3. Step 3: Cross multiply
    69,032.25x = 109,111.50 × 109,111.50
  4. Step 4: Simplify right side
    69,032.25x = 11,905,319,432.25
  5. Step 5: Solve for x
    x = 11,905,319,432.25/69,032.25
  6. Step 6: Final answer
    x = 172,460.25

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.