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Finding the Third Proportional to 96,526 and 147,658

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Solution

The third proportional to 96,526 and 147,658 is: 225,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,526 : 147,658 = 147,658 : x
  2. Step 2: Convert to fraction form
    96,526/147,658 = 147,658/x
  3. Step 3: Cross multiply
    96,526x = 147,658 × 147,658
  4. Step 4: Simplify right side
    96,526x = 21,802,884,964
  5. Step 5: Solve for x
    x = 21,802,884,964/96,526
  6. Step 6: Final answer
    x = 225,875.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.