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Finding the Third Proportional to 93,536 and 144,904

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Solution

The third proportional to 93,536 and 144,904 is: 224,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,536 : 144,904 = 144,904 : x
  2. Step 2: Convert to fraction form
    93,536/144,904 = 144,904/x
  3. Step 3: Cross multiply
    93,536x = 144,904 × 144,904
  4. Step 4: Simplify right side
    93,536x = 20,997,169,216
  5. Step 5: Solve for x
    x = 20,997,169,216/93,536
  6. Step 6: Final answer
    x = 224,482.22

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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.