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Finding the Third Proportional to 130,356 and 185,943

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Solution

The third proportional to 130,356 and 185,943 is: 265,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,356 : 185,943 = 185,943 : x
  2. Step 2: Convert to fraction form
    130,356/185,943 = 185,943/x
  3. Step 3: Cross multiply
    130,356x = 185,943 × 185,943
  4. Step 4: Simplify right side
    130,356x = 34,574,799,249
  5. Step 5: Solve for x
    x = 34,574,799,249/130,356
  6. Step 6: Final answer
    x = 265,233.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.