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Finding the Third Proportional to 45,130 and 66,153

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Solution

The third proportional to 45,130 and 66,153 is: 96,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,130 : 66,153 = 66,153 : x
  2. Step 2: Convert to fraction form
    45,130/66,153 = 66,153/x
  3. Step 3: Cross multiply
    45,130x = 66,153 × 66,153
  4. Step 4: Simplify right side
    45,130x = 4,376,219,409
  5. Step 5: Solve for x
    x = 4,376,219,409/45,130
  6. Step 6: Final answer
    x = 96,969.19

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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.