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Finding the Third Proportional to 64,294 and 99,543

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Solution

The third proportional to 64,294 and 99,543 is: 154,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,294 : 99,543 = 99,543 : x
  2. Step 2: Convert to fraction form
    64,294/99,543 = 99,543/x
  3. Step 3: Cross multiply
    64,294x = 99,543 × 99,543
  4. Step 4: Simplify right side
    64,294x = 9,908,808,849
  5. Step 5: Solve for x
    x = 9,908,808,849/64,294
  6. Step 6: Final answer
    x = 154,117.16

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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.