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Finding the Third Proportional to 60,294 and 130,964

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Solution

The third proportional to 60,294 and 130,964 is: 284,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,294 : 130,964 = 130,964 : x
  2. Step 2: Convert to fraction form
    60,294/130,964 = 130,964/x
  3. Step 3: Cross multiply
    60,294x = 130,964 × 130,964
  4. Step 4: Simplify right side
    60,294x = 17,151,569,296
  5. Step 5: Solve for x
    x = 17,151,569,296/60,294
  6. Step 6: Final answer
    x = 284,465.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.