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Finding the Third Proportional to 93,702.75 and 144,933

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Solution

The third proportional to 93,702.75 and 144,933 is: 224,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,702.75 : 144,933 = 144,933 : x
  2. Step 2: Convert to fraction form
    93,702.75/144,933 = 144,933/x
  3. Step 3: Cross multiply
    93,702.75x = 144,933 × 144,933
  4. Step 4: Simplify right side
    93,702.75x = 21,005,574,489
  5. Step 5: Solve for x
    x = 21,005,574,489/93,702.75
  6. Step 6: Final answer
    x = 224,172.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.