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Finding the Third Proportional to 65,352 and 141,396

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Solution

The third proportional to 65,352 and 141,396 is: 305,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,352 : 141,396 = 141,396 : x
  2. Step 2: Convert to fraction form
    65,352/141,396 = 141,396/x
  3. Step 3: Cross multiply
    65,352x = 141,396 × 141,396
  4. Step 4: Simplify right side
    65,352x = 19,992,828,816
  5. Step 5: Solve for x
    x = 19,992,828,816/65,352
  6. Step 6: Final answer
    x = 305,925.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.