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Finding the Third Proportional to 93,356 and 139,708

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Solution

The third proportional to 93,356 and 139,708 is: 209,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,356 : 139,708 = 139,708 : x
  2. Step 2: Convert to fraction form
    93,356/139,708 = 139,708/x
  3. Step 3: Cross multiply
    93,356x = 139,708 × 139,708
  4. Step 4: Simplify right side
    93,356x = 19,518,325,264
  5. Step 5: Solve for x
    x = 19,518,325,264/93,356
  6. Step 6: Final answer
    x = 209,074.14

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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.