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Finding the Third Proportional to 93,009 and 134,977.50

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Solution

The third proportional to 93,009 and 134,977.50 is: 195,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,009 : 134,977.50 = 134,977.50 : x
  2. Step 2: Convert to fraction form
    93,009/134,977.50 = 134,977.50/x
  3. Step 3: Cross multiply
    93,009x = 134,977.50 × 134,977.50
  4. Step 4: Simplify right side
    93,009x = 18,218,925,506.25
  5. Step 5: Solve for x
    x = 18,218,925,506.25/93,009
  6. Step 6: Final answer
    x = 195,883.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.