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Finding the Third Proportional to 46,528 and 101,748

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Solution

The third proportional to 46,528 and 101,748 is: 222,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,528 : 101,748 = 101,748 : x
  2. Step 2: Convert to fraction form
    46,528/101,748 = 101,748/x
  3. Step 3: Cross multiply
    46,528x = 101,748 × 101,748
  4. Step 4: Simplify right side
    46,528x = 10,352,655,504
  5. Step 5: Solve for x
    x = 10,352,655,504/46,528
  6. Step 6: Final answer
    x = 222,503.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.