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Finding the Third Proportional to 93,426 and 144,729

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Solution

The third proportional to 93,426 and 144,729 is: 224,204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,426 : 144,729 = 144,729 : x
  2. Step 2: Convert to fraction form
    93,426/144,729 = 144,729/x
  3. Step 3: Cross multiply
    93,426x = 144,729 × 144,729
  4. Step 4: Simplify right side
    93,426x = 20,946,483,441
  5. Step 5: Solve for x
    x = 20,946,483,441/93,426
  6. Step 6: Final answer
    x = 224,204.01

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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.