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Finding the Third Proportional to 74,536 and 109,428

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Solution

The third proportional to 74,536 and 109,428 is: 160,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,536 : 109,428 = 109,428 : x
  2. Step 2: Convert to fraction form
    74,536/109,428 = 109,428/x
  3. Step 3: Cross multiply
    74,536x = 109,428 × 109,428
  4. Step 4: Simplify right side
    74,536x = 11,974,487,184
  5. Step 5: Solve for x
    x = 11,974,487,184/74,536
  6. Step 6: Final answer
    x = 160,653.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.