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Finding the Third Proportional to 61,216 and 97,388

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Solution

The third proportional to 61,216 and 97,388 is: 154,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,216 : 97,388 = 97,388 : x
  2. Step 2: Convert to fraction form
    61,216/97,388 = 97,388/x
  3. Step 3: Cross multiply
    61,216x = 97,388 × 97,388
  4. Step 4: Simplify right side
    61,216x = 9,484,422,544
  5. Step 5: Solve for x
    x = 9,484,422,544/61,216
  6. Step 6: Final answer
    x = 154,933.72

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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.