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Finding the Third Proportional to 64,360 and 102,364

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Solution

The third proportional to 64,360 and 102,364 is: 162,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,360 : 102,364 = 102,364 : x
  2. Step 2: Convert to fraction form
    64,360/102,364 = 102,364/x
  3. Step 3: Cross multiply
    64,360x = 102,364 × 102,364
  4. Step 4: Simplify right side
    64,360x = 10,478,388,496
  5. Step 5: Solve for x
    x = 10,478,388,496/64,360
  6. Step 6: Final answer
    x = 162,809.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.