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Finding the Third Proportional to 44,528 and 105,488

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Solution

The third proportional to 44,528 and 105,488 is: 249,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,528 : 105,488 = 105,488 : x
  2. Step 2: Convert to fraction form
    44,528/105,488 = 105,488/x
  3. Step 3: Cross multiply
    44,528x = 105,488 × 105,488
  4. Step 4: Simplify right side
    44,528x = 11,127,718,144
  5. Step 5: Solve for x
    x = 11,127,718,144/44,528
  6. Step 6: Final answer
    x = 249,903.84

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.