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Finding the Third Proportional to 64,748 and 99,998

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Solution

The third proportional to 64,748 and 99,998 is: 154,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,748 : 99,998 = 99,998 : x
  2. Step 2: Convert to fraction form
    64,748/99,998 = 99,998/x
  3. Step 3: Cross multiply
    64,748x = 99,998 × 99,998
  4. Step 4: Simplify right side
    64,748x = 9,999,600,004
  5. Step 5: Solve for x
    x = 9,999,600,004/64,748
  6. Step 6: Final answer
    x = 154,438.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.