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Finding the Third Proportional to 97,362 and 150,342

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Solution

The third proportional to 97,362 and 150,342 is: 232,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,362 : 150,342 = 150,342 : x
  2. Step 2: Convert to fraction form
    97,362/150,342 = 150,342/x
  3. Step 3: Cross multiply
    97,362x = 150,342 × 150,342
  4. Step 4: Simplify right side
    97,362x = 22,602,716,964
  5. Step 5: Solve for x
    x = 22,602,716,964/97,362
  6. Step 6: Final answer
    x = 232,151.32

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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.