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Finding the Third Proportional to 93,516 and 127,770

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Solution

The third proportional to 93,516 and 127,770 is: 174,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,516 : 127,770 = 127,770 : x
  2. Step 2: Convert to fraction form
    93,516/127,770 = 127,770/x
  3. Step 3: Cross multiply
    93,516x = 127,770 × 127,770
  4. Step 4: Simplify right side
    93,516x = 16,325,172,900
  5. Step 5: Solve for x
    x = 16,325,172,900/93,516
  6. Step 6: Final answer
    x = 174,570.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.