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Finding the Third Proportional to 64,098 and 139,252.50

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Solution

The third proportional to 64,098 and 139,252.50 is: 302,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,098 : 139,252.50 = 139,252.50 : x
  2. Step 2: Convert to fraction form
    64,098/139,252.50 = 139,252.50/x
  3. Step 3: Cross multiply
    64,098x = 139,252.50 × 139,252.50
  4. Step 4: Simplify right side
    64,098x = 19,391,258,756.25
  5. Step 5: Solve for x
    x = 19,391,258,756.25/64,098
  6. Step 6: Final answer
    x = 302,525.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.