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Finding the Third Proportional to 93,015 and 139,315.50

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Solution

The third proportional to 93,015 and 139,315.50 is: 208,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,015 : 139,315.50 = 139,315.50 : x
  2. Step 2: Convert to fraction form
    93,015/139,315.50 = 139,315.50/x
  3. Step 3: Cross multiply
    93,015x = 139,315.50 × 139,315.50
  4. Step 4: Simplify right side
    93,015x = 19,408,808,540.25
  5. Step 5: Solve for x
    x = 19,408,808,540.25/93,015
  6. Step 6: Final answer
    x = 208,663.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.