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Finding the Third Proportional to 46,416 and 90,528

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Solution

The third proportional to 46,416 and 90,528 is: 176,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,416 : 90,528 = 90,528 : x
  2. Step 2: Convert to fraction form
    46,416/90,528 = 90,528/x
  3. Step 3: Cross multiply
    46,416x = 90,528 × 90,528
  4. Step 4: Simplify right side
    46,416x = 8,195,318,784
  5. Step 5: Solve for x
    x = 8,195,318,784/46,416
  6. Step 6: Final answer
    x = 176,562.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.