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Finding the Third Proportional to 157,095 and 235,129

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Solution

The third proportional to 157,095 and 235,129 is: 351,924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,095 : 235,129 = 235,129 : x
  2. Step 2: Convert to fraction form
    157,095/235,129 = 235,129/x
  3. Step 3: Cross multiply
    157,095x = 235,129 × 235,129
  4. Step 4: Simplify right side
    157,095x = 55,285,646,641
  5. Step 5: Solve for x
    x = 55,285,646,641/157,095
  6. Step 6: Final answer
    x = 351,924.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.