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Finding the Third Proportional to 88,953 and 138,532.50

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Solution

The third proportional to 88,953 and 138,532.50 is: 215,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,953 : 138,532.50 = 138,532.50 : x
  2. Step 2: Convert to fraction form
    88,953/138,532.50 = 138,532.50/x
  3. Step 3: Cross multiply
    88,953x = 138,532.50 × 138,532.50
  4. Step 4: Simplify right side
    88,953x = 19,191,253,556.25
  5. Step 5: Solve for x
    x = 19,191,253,556.25/88,953
  6. Step 6: Final answer
    x = 215,746.00

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.