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Finding the Third Proportional to 97,428 and 152,293

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Solution

The third proportional to 97,428 and 152,293 is: 238,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,428 : 152,293 = 152,293 : x
  2. Step 2: Convert to fraction form
    97,428/152,293 = 152,293/x
  3. Step 3: Cross multiply
    97,428x = 152,293 × 152,293
  4. Step 4: Simplify right side
    97,428x = 23,193,157,849
  5. Step 5: Solve for x
    x = 23,193,157,849/97,428
  6. Step 6: Final answer
    x = 238,054.34

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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.