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Finding the Third Proportional to 102,126.38 and 157,496.63

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Solution

The third proportional to 102,126.38 and 157,496.63 is: 242,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,126.38 : 157,496.63 = 157,496.63 : x
  2. Step 2: Convert to fraction form
    102,126.38/157,496.63 = 157,496.63/x
  3. Step 3: Cross multiply
    102,126.38x = 157,496.63 × 157,496.63
  4. Step 4: Simplify right side
    102,126.38x = 24,805,186,886.39
  5. Step 5: Solve for x
    x = 24,805,186,886.39/102,126.38
  6. Step 6: Final answer
    x = 242,887.18

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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.