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Finding the Third Proportional to 93,213 and 145,341

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Solution

The third proportional to 93,213 and 145,341 is: 226,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,213 : 145,341 = 145,341 : x
  2. Step 2: Convert to fraction form
    93,213/145,341 = 145,341/x
  3. Step 3: Cross multiply
    93,213x = 145,341 × 145,341
  4. Step 4: Simplify right side
    93,213x = 21,124,006,281
  5. Step 5: Solve for x
    x = 21,124,006,281/93,213
  6. Step 6: Final answer
    x = 226,620.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.