Finding the Third Proportional to 103,076 and 147,006
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Solution
The third proportional to 103,076 and 147,006 is: 209,658.54
Step by Step Solution
- Step 1: Write the proportion equation
103,076 : 147,006 = 147,006 : x - Step 2: Convert to fraction form
103,076/147,006 = 147,006/x - Step 3: Cross multiply
103,076x = 147,006 × 147,006 - Step 4: Simplify right side
103,076x = 21,610,764,036 - Step 5: Solve for x
x = 21,610,764,036/103,076 - Step 6: Final answer
x = 209,658.54
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.