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Finding the Third Proportional to 64,152 and 141,210

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Solution

The third proportional to 64,152 and 141,210 is: 310,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,152 : 141,210 = 141,210 : x
  2. Step 2: Convert to fraction form
    64,152/141,210 = 141,210/x
  3. Step 3: Cross multiply
    64,152x = 141,210 × 141,210
  4. Step 4: Simplify right side
    64,152x = 19,940,264,100
  5. Step 5: Solve for x
    x = 19,940,264,100/64,152
  6. Step 6: Final answer
    x = 310,828.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.