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Finding the Third Proportional to 60,726 and 89,097

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Solution

The third proportional to 60,726 and 89,097 is: 130,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,726 : 89,097 = 89,097 : x
  2. Step 2: Convert to fraction form
    60,726/89,097 = 89,097/x
  3. Step 3: Cross multiply
    60,726x = 89,097 × 89,097
  4. Step 4: Simplify right side
    60,726x = 7,938,275,409
  5. Step 5: Solve for x
    x = 7,938,275,409/60,726
  6. Step 6: Final answer
    x = 130,722.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.