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Finding the Third Proportional to 96,370 and 148,313

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Solution

The third proportional to 96,370 and 148,313 is: 228,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,370 : 148,313 = 148,313 : x
  2. Step 2: Convert to fraction form
    96,370/148,313 = 148,313/x
  3. Step 3: Cross multiply
    96,370x = 148,313 × 148,313
  4. Step 4: Simplify right side
    96,370x = 21,996,745,969
  5. Step 5: Solve for x
    x = 21,996,745,969/96,370
  6. Step 6: Final answer
    x = 228,253.05

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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.