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Finding the Third Proportional to 58,428 and 128,520

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Solution

The third proportional to 58,428 and 128,520 is: 282,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,428 : 128,520 = 128,520 : x
  2. Step 2: Convert to fraction form
    58,428/128,520 = 128,520/x
  3. Step 3: Cross multiply
    58,428x = 128,520 × 128,520
  4. Step 4: Simplify right side
    58,428x = 16,517,390,400
  5. Step 5: Solve for x
    x = 16,517,390,400/58,428
  6. Step 6: Final answer
    x = 282,696.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.