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Finding the Third Proportional to 93,427 and 144,730

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Solution

The third proportional to 93,427 and 144,730 is: 224,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,427 : 144,730 = 144,730 : x
  2. Step 2: Convert to fraction form
    93,427/144,730 = 144,730/x
  3. Step 3: Cross multiply
    93,427x = 144,730 × 144,730
  4. Step 4: Simplify right side
    93,427x = 20,946,772,900
  5. Step 5: Solve for x
    x = 20,946,772,900/93,427
  6. Step 6: Final answer
    x = 224,204.70

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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.