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Finding the Third Proportional to 96,465 and 148,362

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Solution

The third proportional to 96,465 and 148,362 is: 228,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,465 : 148,362 = 148,362 : x
  2. Step 2: Convert to fraction form
    96,465/148,362 = 148,362/x
  3. Step 3: Cross multiply
    96,465x = 148,362 × 148,362
  4. Step 4: Simplify right side
    96,465x = 22,011,283,044
  5. Step 5: Solve for x
    x = 22,011,283,044/96,465
  6. Step 6: Final answer
    x = 228,178.96

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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.