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Finding the Third Proportional to 64,307 and 141,065

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Solution

The third proportional to 64,307 and 141,065 is: 309,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,307 : 141,065 = 141,065 : x
  2. Step 2: Convert to fraction form
    64,307/141,065 = 141,065/x
  3. Step 3: Cross multiply
    64,307x = 141,065 × 141,065
  4. Step 4: Simplify right side
    64,307x = 19,899,334,225
  5. Step 5: Solve for x
    x = 19,899,334,225/64,307
  6. Step 6: Final answer
    x = 309,442.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.