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Finding the Third Proportional to 64,341 and 99,428

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Solution

The third proportional to 64,341 and 99,428 is: 153,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,341 : 99,428 = 99,428 : x
  2. Step 2: Convert to fraction form
    64,341/99,428 = 99,428/x
  3. Step 3: Cross multiply
    64,341x = 99,428 × 99,428
  4. Step 4: Simplify right side
    64,341x = 9,885,927,184
  5. Step 5: Solve for x
    x = 9,885,927,184/64,341
  6. Step 6: Final answer
    x = 153,648.95

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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.