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Finding the Third Proportional to 64,364 and 99,465

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Solution

The third proportional to 64,364 and 99,465 is: 153,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,364 : 99,465 = 99,465 : x
  2. Step 2: Convert to fraction form
    64,364/99,465 = 99,465/x
  3. Step 3: Cross multiply
    64,364x = 99,465 × 99,465
  4. Step 4: Simplify right side
    64,364x = 9,893,286,225
  5. Step 5: Solve for x
    x = 9,893,286,225/64,364
  6. Step 6: Final answer
    x = 153,708.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.