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Finding the Third Proportional to 53,001 and 71,725.50

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Solution

The third proportional to 53,001 and 71,725.50 is: 97,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,001 : 71,725.50 = 71,725.50 : x
  2. Step 2: Convert to fraction form
    53,001/71,725.50 = 71,725.50/x
  3. Step 3: Cross multiply
    53,001x = 71,725.50 × 71,725.50
  4. Step 4: Simplify right side
    53,001x = 5,144,547,350.25
  5. Step 5: Solve for x
    x = 5,144,547,350.25/53,001
  6. Step 6: Final answer
    x = 97,065.10

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.