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Finding the Third Proportional to 93,688 and 144,420

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Solution

The third proportional to 93,688 and 144,420 is: 222,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,688 : 144,420 = 144,420 : x
  2. Step 2: Convert to fraction form
    93,688/144,420 = 144,420/x
  3. Step 3: Cross multiply
    93,688x = 144,420 × 144,420
  4. Step 4: Simplify right side
    93,688x = 20,857,136,400
  5. Step 5: Solve for x
    x = 20,857,136,400/93,688
  6. Step 6: Final answer
    x = 222,623.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.