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Finding the Third Proportional to 60,565 and 141,465

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Solution

The third proportional to 60,565 and 141,465 is: 330,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,565 : 141,465 = 141,465 : x
  2. Step 2: Convert to fraction form
    60,565/141,465 = 141,465/x
  3. Step 3: Cross multiply
    60,565x = 141,465 × 141,465
  4. Step 4: Simplify right side
    60,565x = 20,012,346,225
  5. Step 5: Solve for x
    x = 20,012,346,225/60,565
  6. Step 6: Final answer
    x = 330,427.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.